{"id":"W4405238969","doi":"10.3390/math12243882","title":"A Double Birthday Paradox in the Study of Coincidences","year":2024,"lang":"en","type":"article","venue":"Mathematics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Trent University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.02584431,0.0007829563,0.002471591,0.003012991,0.002747087,0.007008347,0.003437989,0.005304969,0.003837899],"category_scores_gemma":[0.1206464,0.001198045,0.002349903,0.003340158,0.01265932,0.01624443,0.00694814,0.008183373,0.000432951],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002029408,"about_ca_system_score_gemma":0.001392212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008408966,"about_ca_topic_score_gemma":0.0005654964,"domain_scores_codex":[0.9849414,0.00996734,0.0007098536,0.00211385,0.001931955,0.0003356158],"domain_scores_gemma":[0.8341656,0.147521,0.006368939,0.007795443,0.001887345,0.002261578],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003112449,0.00001834205,0.001504264,0.00009689922,0.00004942888,0.0003397325,0.0004443933,0.007405569,0.0001288886,0.9832996,0.001386956,0.005294914],"study_design_scores_gemma":[0.00001072729,0.00001551127,0.00019476,0.00004007716,0.000009934372,0.0002241167,0.0000621464,0.02330342,0.00005210066,0.9743309,0.001736562,0.00001972726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05439313,0.007508728,0.8902138,0.03329953,0.0007459587,0.00007267937,0.0003051086,0.000155924,0.01330519],"genre_scores_gemma":[0.834411,0.006057682,0.1454351,0.004471818,0.00389075,0.000364849,0.0002523237,0.0001984005,0.004918017],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02584431,"threshold_uncertainty_score":0.1366794,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1086299530331957,"score_gpt":0.3869423104084953,"score_spread":0.2783123573752996,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}